From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001 From: priyanka Date: Wed, 24 Jun 2015 15:03:17 +0530 Subject: initial commit / add all books --- 587/CH2/EX2.9/example2_9.sce | 21 +++++++++++++++++++++ 1 file changed, 21 insertions(+) create mode 100755 587/CH2/EX2.9/example2_9.sce (limited to '587/CH2/EX2.9/example2_9.sce') diff --git a/587/CH2/EX2.9/example2_9.sce b/587/CH2/EX2.9/example2_9.sce new file mode 100755 index 000000000..2373d66ff --- /dev/null +++ b/587/CH2/EX2.9/example2_9.sce @@ -0,0 +1,21 @@ +clear; +clc; + +//Example2.9[Combined Convection and Radiation Condition] +//Given:- +T_ball=300;//Temperature of spherical metal ball[degree Celcius] +T_ambient=27;//Temperature of ambient air[degree Celcius] +k=14.4;//Thermal conductivity of the ball material[W/m.K] +h=25;//average convection heat transfer coefficient on the outer surface of the ball[W/m^2.K] +e=0.6;//Emissivity of outer surface of the ball +T_surr=290;// +//This is one-dimensional transient heat transfer problem since the temperature within the ball changes with the radial distance r and the time t i.e. T=T(r,t) +//Taking the moment the ball is removed from the oven to be t=0 +disp("The initial condition can be expressed as") +disp("T(r,0)=T_ball") +disp("degree Celcius",T_ball) +//The problem possesses symmetry about the mid point(r=0) since the isotherms in this case are concentric spheres, and thus no heat is crossing the mid point of the ball. +disp("The boundary condition at the midpoint i.e. r=0 can be expressed as dT(0,t)/dr=0") +//The heat conducted to the outer surface of the ball is lost to the environment by convection and radiation. +disp("Taking the direction of heat transfer to be the positive r direction, the boundary condition on the outer surface can be expressed as") +disp("-k(dT(r_out,t)/dr)=h[T(r_out)-T_ambient]+e*sigma[(T(r_out)^4)-(T_ambient^4)]") \ No newline at end of file -- cgit